Finite Group Databasebeta

← Group #13181390

Character table — Group #13181390

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size112222244466668888881212121216161616161616161618183636363636363611222224446666888888121212121616161616161616161818363636363636361122222444666688888812121212161616161616161616181836363636363636
order122234666122444333666612121266666612121288244488836663126661261212123336666121212666666121212242461212122424243666312666126121212333666612121266666612121224246121212242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1111111111111111111111111111111111-1-1-1-1-1-1-1-1-1111111111111111111111111111111111-1-1-1-1-1-1-1-1-1
χ3111-11-111-1-1-11-11111111-111-1111-1-1-1-1-1-111-111-11-1-1111-11-111-1-1-11-11111111-111-1111-1-1-1-1-1-111-111-11-1-1111-11-111-1-1-11-11111111-111-1111-1-1-1-1-1-111-111-11-1-1
χ4111-11-111-1-1-11-11111111-111-1111-1-1-1-1-1-1-1-11-1-11-111111-11-111-1-1-11-11111111-111-1111-1-1-1-1-1-1-1-11-1-11-111111-11-111-1-1-11-11111111-111-1111-1-1-1-1-1-1-1-11-1-11-111
χ511-111-11-11-1-1-111111111-11-11-1-1-1111-1-1-111-11-11-11-111-111-11-11-1-1-111111111-11-11-1-1-1111-1-1-111-11-11-11-111-111-11-11-1-1-111111111-11-11-1-1-1111-1-1-111-11-11-11-1
χ611-111-11-11-1-1-111111111-11-11-1-1-1111-1-1-1-1-11-11-11-1111-111-11-11-1-1-111111111-11-11-1-1-1111-1-1-1-1-11-11-11-1111-111-11-11-1-1-111111111-11-11-1-1-1111-1-1-1-1-11-11-11-11
χ711-1-1111-1-111-1-1111111111-1-1-1-1-1-1-1-11111111-1-1-1-1111-1-1111-1-111-1-1111111111-1-1-1-1-1-1-1-11111111-1-1-1-1111-1-1111-1-111-1-1111111111-1-1-1-1-1-1-1-11111111-1-1-1-11
χ811-1-1111-1-111-1-1111111111-1-1-1-1-1-1-1-1111-1-1-1-11111-111-1-1111-1-111-1-1111111111-1-1-1-1-1-1-1-1111-1-1-1-11111-111-1-1111-1-111-1-1111111111-1-1-1-1-1-1-1-1111-1-1-1-11111-1
χ922222222222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-100000000022222222222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-100000000022222222222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1000000000
χ102222-12-1-1-1-122222-1-12-1-1-1-1-1-12-1-12-1-12-1-10000000002222-12-1-1-1-122222-1-12-1-1-1-1-1-12-1-12-1-12-1-10000000002222-12-1-1-1-122222-1-12-1-1-1-1-1-12-1-12-1-12-1-1000000000
χ112222-12-1-1-1-12222-12-1-12-1-1-1-1-1-12-1-12-1-12-10000000002222-12-1-1-1-12222-12-1-12-1-1-1-1-1-12-1-12-1-12-10000000002222-12-1-1-1-12222-12-1-12-1-1-1-1-1-12-1-12-1-12-1000000000
χ122222-12-1-1-1-12222-1-12-1-12-1-1-1-1-1-12-1-12-1-120000000002222-12-1-1-1-12222-1-12-1-12-1-1-1-1-1-12-1-12-1-120000000002222-12-1-1-1-12222-1-12-1-12-1-1-1-1-1-12-1-12-1-12000000000
χ13222-22-222-2-2-22-22-1-1-1-1-1-1-222-2-1-1-1111111000000000222-22-222-2-2-22-22-1-1-1-1-1-1-222-2-1-1-1111111000000000222-22-222-2-2-22-22-1-1-1-1-1-1-222-2-1-1-1111111000000000
χ14222-2-1-2-1-111-22-222-1-12-1-11-1-112-1-1-211-211000000000222-2-1-2-1-111-22-222-1-12-1-11-1-112-1-1-211-211000000000222-2-1-2-1-111-22-222-1-12-1-11-1-112-1-1-211-211000000000
χ15222-2-1-2-1-111-22-22-12-1-12-11-1-11-12-11-211-21000000000222-2-1-2-1-111-22-22-12-1-12-11-1-11-12-11-211-21000000000222-2-1-2-1-111-22-22-12-1-12-11-1-11-12-11-211-21000000000
χ16222-2-1-2-1-111-22-22-1-12-1-121-1-11-1-1211-211-2000000000222-2-1-2-1-111-22-22-1-12-1-121-1-11-1-1211-211-2000000000222-2-1-2-1-111-22-22-1-12-1-121-1-11-1-1211-211-2000000000
χ1722-222-22-22-2-2-222-1-1-1-1-1-1-22-22111-1-1-111100000000022-222-22-22-2-2-222-1-1-1-1-1-1-22-22111-1-1-111100000000022-222-22-22-2-2-222-1-1-1-1-1-1-22-22111-1-1-1111000000000
χ1822-22-1-2-11-11-2-2222-1-12-1-11-11-1-2112-1-1-21100000000022-22-1-2-11-11-2-2222-1-12-1-11-11-1-2112-1-1-21100000000022-22-1-2-11-11-2-2222-1-12-1-11-11-1-2112-1-1-211000000000
χ1922-22-1-2-11-11-2-222-12-1-12-11-11-11-21-12-11-2100000000022-22-1-2-11-11-2-222-12-1-12-11-11-11-21-12-11-2100000000022-22-1-2-11-11-2-222-12-1-12-11-11-11-21-12-11-21000000000
χ2022-22-1-2-11-11-2-222-1-12-1-121-11-111-2-1-1211-200000000022-22-1-2-11-11-2-222-1-12-1-121-11-111-2-1-1211-200000000022-22-1-2-11-11-2-222-1-12-1-121-11-111-2-1-1211-2000000000
χ2122-2-2222-2-222-2-22-1-1-1-1-1-122-2-2111111-1-1-100000000022-2-2222-2-222-2-22-1-1-1-1-1-122-2-2111111-1-1-100000000022-2-2222-2-222-2-22-1-1-1-1-1-122-2-2111111-1-1-1000000000
χ2222-2-2-12-111-12-2-222-1-12-1-1-1-111-211-2112-1-100000000022-2-2-12-111-12-2-222-1-12-1-1-1-111-211-2112-1-100000000022-2-2-12-111-12-2-222-1-12-1-1-1-111-211-2112-1-1000000000
χ2322-2-2-12-111-12-2-22-12-1-12-1-1-1111-211-21-12-100000000022-2-2-12-111-12-2-22-12-1-12-1-1-1111-211-21-12-100000000022-2-2-12-111-12-2-22-12-1-12-1-1-1111-211-21-12-1000000000
χ2422-2-2-12-111-12-2-22-1-12-1-12-1-11111-211-2-1-1200000000022-2-2-12-111-12-2-22-1-12-1-12-1-11111-211-2-1-1200000000022-2-2-12-111-12-2-22-1-12-1-12-1-11111-211-2-1-12000000000
χ253333333333-1-1-1-1000000-1-1-1-100000000011-1-1-1-11113333333333-1-1-1-1000000-1-1-1-100000000011-1-1-1-11113333333333-1-1-1-1000000-1-1-1-100000000011-1-1-1-1111
χ263333333333-1-1-1-1000000-1-1-1-1000000000-1-11111-1-1-13333333333-1-1-1-1000000-1-1-1-1000000000-1-11111-1-1-13333333333-1-1-1-1000000-1-1-1-1000000000-1-11111-1-1-1
χ27333-33-333-3-31-11-10000001-1-11000000000111-1-111-1-1333-33-333-3-31-11-10000001-1-11000000000111-1-111-1-1333-33-333-3-31-11-10000001-1-11000000000111-1-111-1-1
χ28333-33-333-3-31-11-10000001-1-11000000000-1-1-111-1-111333-33-333-3-31-11-10000001-1-11000000000-1-1-111-1-111333-33-333-3-31-11-10000001-1-11000000000-1-1-111-1-111
χ2933-333-33-33-311-1-10000001-11-1000000000111-11-1-11-133-333-33-33-311-1-10000001-11-1000000000111-11-1-11-133-333-33-33-311-1-10000001-11-1000000000111-11-1-11-1
χ3033-333-33-33-311-1-10000001-11-1000000000-1-1-11-111-1133-333-33-33-311-1-10000001-11-1000000000-1-1-11-111-1133-333-33-33-311-1-10000001-11-1000000000-1-1-11-111-11
χ3133-3-3333-3-33-111-1000000-1-11100000000011-1-111-1-1133-3-3333-3-33-111-1000000-1-11100000000011-1-111-1-1133-3-3333-3-33-111-1000000-1-11100000000011-1-111-1-11
χ3233-3-3333-3-33-111-1000000-1-111000000000-1-111-1-111-133-3-3333-3-33-111-1000000-1-111000000000-1-111-1-111-133-3-3333-3-33-111-1000000-1-111000000000-1-111-1-111-1
χ334-40040-40000000-2-2-2222000000000000022−2200000004-40040-40000000-2-2-2222000000000000022−2200000004-40040-40000000-2-2-2222000000000000022−220000000
χ344-40040-40000000-2-2-22220000000000000−222200000004-40040-40000000-2-2-22220000000000000−222200000004-40040-40000000-2-2-22220000000000000−22220000000
χ356666-36-3-3-3-3-2-2-2-200000011110000000000000000006666-36-3-3-3-3-2-2-2-200000011110000000000000000006666-36-3-3-3-3-2-2-2-20000001111000000000000000000
χ36666-6-3-6-3-3332-22-2000000-111-1000000000000000000666-6-3-6-3-3332-22-2000000-111-1000000000000000000666-6-3-6-3-3332-22-2000000-111-1000000000000000000
χ3766-66-3-6-33-3322-2-2000000-11-1100000000000000000066-66-3-6-33-3322-2-2000000-11-1100000000000000000066-66-3-6-33-3322-2-2000000-11-11000000000000000000
χ3866-6-6-36-333-3-222-200000011-1-100000000000000000066-6-6-36-333-3-222-200000011-1-100000000000000000066-6-6-36-333-3-222-200000011-1-1000000000000000000
χ398-80080-80000000222-2-2-200000000000000000000008-80080-80000000222-2-2-200000000000000000000008-80080-80000000222-2-2-20000000000000000000000
χ408-800-404000000022-4-2-2400000000000000000000008-800-404000000022-4-2-2400000000000000000000008-800-404000000022-4-2-240000000000000000000000
χ418-800-40400000002-42-24-200000000000000000000008-800-40400000002-42-24-200000000000000000000008-800-40400000002-42-24-20000000000000000000000
χ428-800-4040000000-4224-2-200000000000000000000008-800-4040000000-4224-2-200000000000000000000008-800-4040000000-4224-2-20000000000000000000000
χ43111111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ44111111111111111111111111111111111-1-1-1-1-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i32
χ45111-11-111-1-1-11-11111111-111-1111-1-1-1-1-1-111-111-11-1-1−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i321+i32
χ46111-11-111-1-1-11-11111111-111-1111-1-1-1-1-1-1-1-11-1-11-111−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32
χ4711-111-11-11-1-1-111111111-11-11-1-1-1111-1-1-111-11-11-11-1−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32
χ4811-111-11-11-1-1-111111111-11-11-1-1-1111-1-1-1-1-11-11-11-11−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32
χ4911-1-1111-1-111-1-1111111111-1-1-1-1-1-1-1-11111111-1-1-1-11−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32
χ5011-1-1111-1-111-1-1111111111-1-1-1-1-1-1-1-1111-1-1-1-11111-1−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32
χ5122222222222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i32000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i32000000000
χ522222-12-1-1-1-122222-1-12-1-1-1-1-1-12-1-12-1-12-1-1000000000−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i32−1+i31−i321−i321−i321−i321−i321−i32−1+i31−i321−i32−1+i31−i321−i32−1+i31−i321−i32000000000−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i32−1−i31+i321+i321+i321+i321+i321+i32−1−i31+i321+i32−1−i31+i321+i32−1−i31+i321+i32000000000
χ532222-12-1-1-1-12222-12-1-12-1-1-1-1-1-12-1-12-1-12-1000000000−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i31−i321−i321−i321−i321−i321−i32−1+i31−i321−i32−1+i31−i321−i32−1+i31−i32000000000−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i31+i321+i321+i321+i321+i321+i32−1−i31+i321+i32−1−i31+i321+i32−1−i31+i32000000000
χ542222-12-1-1-1-12222-1-12-1-12-1-1-1-1-1-12-1-12-1-12000000000−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i32−1+i31−i321−i32−1+i31−i321−i321−i321−i321−i321−i32−1+i31−i321−i32−1+i31−i321−i32−1+i3000000000−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i32−1−i31+i321+i32−1−i31+i321+i321+i321+i321+i321+i32−1−i31+i321+i32−1−i31+i321+i32−1−i3000000000
χ55222-22-222-2-2-22-22-1-1-1-1-1-1-222-2-1-1-1111111000000000−1+i3−1+i3−1+i31−i3−1+i31−i3−1+i3−1+i31−i31−i31−i3−1+i31−i3−1+i31−i321−i321−i321−i321−i321−i321−i3−1+i3−1+i31−i31−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32000000000−1−i3−1−i3−1−i31+i3−1−i31+i3−1−i3−1−i31+i31+i31+i3−1−i31+i3−1−i31+i321+i321+i321+i321+i321+i321+i3−1−i3−1−i31+i31+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32000000000
χ56222-2-1-2-1-111-22-222-1-12-1-11-1-112-1-1-211-211000000000−1+i3−1+i3−1+i31−i31−i321−i31−i321−i32−1+i32−1+i321−i3−1+i31−i3−1+i3−1+i31−i321−i32−1+i31−i321−i32−1+i321−i321−i32−1+i32−1+i31−i321−i321−i3−1+i32−1+i321−i3−1+i32−1+i32000000000−1−i3−1−i3−1−i31+i31+i321+i31+i321+i32−1−i32−1−i321+i3−1−i31+i3−1−i3−1−i31+i321+i32−1−i31+i321+i32−1−i321+i321+i32−1−i32−1−i31+i321+i321+i3−1−i32−1−i321+i3−1−i32−1−i32000000000
χ57222-2-1-2-1-111-22-22-12-1-12-11-1-11-12-11-211-21000000000−1+i3−1+i3−1+i31−i31−i321−i31−i321−i32−1+i32−1+i321−i3−1+i31−i3−1+i31−i32−1+i31−i321−i32−1+i31−i32−1+i321−i321−i32−1+i321−i32−1+i31−i32−1+i321−i3−1+i32−1+i321−i3−1+i32000000000−1−i3−1−i3−1−i31+i31+i321+i31+i321+i32−1−i32−1−i321+i3−1−i31+i3−1−i31+i32−1−i31+i321+i32−1−i31+i32−1−i321+i321+i32−1−i321+i32−1−i31+i32−1−i321+i3−1−i32−1−i321+i3−1−i32000000000
χ58222-2-1-2-1-111-22-22-1-12-1-121-1-11-1-1211-211-2000000000−1+i3−1+i3−1+i31−i31−i321−i31−i321−i32−1+i32−1+i321−i3−1+i31−i3−1+i31−i321−i32−1+i31−i321−i32−1+i3−1+i321−i321−i32−1+i321−i321−i32−1+i3−1+i32−1+i321−i3−1+i32−1+i321−i3000000000−1−i3−1−i3−1−i31+i31+i321+i31+i321+i32−1−i32−1−i321+i3−1−i31+i3−1−i31+i321+i32−1−i31+i321+i32−1−i3−1−i321+i321+i32−1−i321+i321+i32−1−i3−1−i32−1−i321+i3−1−i32−1−i321+i3000000000
χ5922-222-22-22-2-2-222-1-1-1-1-1-1-22-22111-1-1-1111000000000−1+i3−1+i31−i3−1+i3−1+i31−i3−1+i31−i3−1+i31−i31−i31−i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i3−1+i31−i3−1+i3−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32000000000−1−i3−1−i31+i3−1−i3−1−i31+i3−1−i31+i3−1−i31+i31+i31+i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i3−1−i31+i3−1−i3−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32000000000
χ6022-22-1-2-11-11-2-2222-1-12-1-11-11-1-2112-1-1-211000000000−1+i3−1+i31−i3−1+i31−i321−i31−i32−1+i321−i32−1+i321−i31−i3−1+i3−1+i3−1+i31−i321−i32−1+i31−i321−i32−1+i321−i32−1+i321−i321−i3−1+i32−1+i32−1+i31−i321−i321−i3−1+i32−1+i32000000000−1−i3−1−i31+i3−1−i31+i321+i31+i32−1−i321+i32−1−i321+i31+i3−1−i3−1−i3−1−i31+i321+i32−1−i31+i321+i32−1−i321+i32−1−i321+i321+i3−1−i32−1−i32−1−i31+i321+i321+i3−1−i32−1−i32000000000
χ6122-22-1-2-11-11-2-222-12-1-12-11-11-11-21-12-11-21000000000−1+i3−1+i31−i3−1+i31−i321−i31−i32−1+i321−i32−1+i321−i31−i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i31−i32−1+i321−i32−1+i321−i32−1+i321−i3−1+i321−i32−1+i31−i32−1+i321−i3−1+i32000000000−1−i3−1−i31+i3−1−i31+i321+i31+i32−1−i321+i32−1−i321+i31+i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i31+i32−1−i321+i32−1−i321+i32−1−i321+i3−1−i321+i32−1−i31+i32−1−i321+i3−1−i32000000000
χ6222-22-1-2-11-11-2-222-1-12-1-121-11-111-2-1-1211-2000000000−1+i3−1+i31−i3−1+i31−i321−i31−i32−1+i321−i32−1+i321−i31−i3−1+i3−1+i31−i321−i32−1+i31−i321−i32−1+i3−1+i321−i32−1+i321−i32−1+i32−1+i321−i31−i321−i32−1+i3−1+i32−1+i321−i3000000000−1−i3−1−i31+i3−1−i31+i321+i31+i32−1−i321+i32−1−i321+i31+i3−1−i3−1−i31+i321+i32−1−i31+i321+i32−1−i3−1−i321+i32−1−i321+i32−1−i32−1−i321+i31+i321+i32−1−i3−1−i32−1−i321+i3000000000
χ6322-2-2222-2-222-2-22-1-1-1-1-1-122-2-2111111-1-1-1000000000−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32000000000−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32000000000
χ6422-2-2-12-111-12-2-222-1-12-1-1-1-111-211-2112-1-1000000000−1+i3−1+i31−i31−i31−i32−1+i31−i32−1+i32−1+i321−i32−1+i31−i31−i3−1+i3−1+i31−i321−i32−1+i31−i321−i321−i321−i32−1+i32−1+i321−i3−1+i32−1+i321−i3−1+i32−1+i32−1+i31−i321−i32000000000−1−i3−1−i31+i31+i31+i32−1−i31+i32−1−i32−1−i321+i32−1−i31+i31+i3−1−i3−1−i31+i321+i32−1−i31+i321+i321+i321+i32−1−i32−1−i321+i3−1−i32−1−i321+i3−1−i32−1−i32−1−i31+i321+i32000000000
χ6522-2-2-12-111-12-2-22-12-1-12-1-1-1111-211-21-12-1000000000−1+i3−1+i31−i31−i31−i32−1+i31−i32−1+i32−1+i321−i32−1+i31−i31−i3−1+i31−i32−1+i31−i321−i32−1+i31−i321−i321−i32−1+i32−1+i32−1+i321−i3−1+i32−1+i321−i3−1+i321−i32−1+i31−i32000000000−1−i3−1−i31+i31+i31+i32−1−i31+i32−1−i32−1−i321+i32−1−i31+i31+i3−1−i31+i32−1−i31+i321+i32−1−i31+i321+i321+i32−1−i32−1−i32−1−i321+i3−1−i32−1−i321+i3−1−i321+i32−1−i31+i32000000000
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χ10422-22-1-2-11-11-2-222-1-12-1-121-11-111-2-1-1211-2000000000−1−i3−1−i31+i3−1−i31+i321+i31+i32−1−i321+i32−1−i321+i31+i3−1−i3−1−i31+i321+i32−1−i31+i321+i32−1−i3−1−i321+i32−1−i321+i32−1−i32−1−i321+i31+i321+i32−1−i3−1−i32−1−i321+i3000000000−1+i3−1+i31−i3−1+i31−i321−i31−i32−1+i321−i32−1+i321−i31−i3−1+i3−1+i31−i321−i32−1+i31−i321−i32−1+i3−1+i321−i32−1+i321−i32−1+i32−1+i321−i31−i321−i32−1+i3−1+i32−1+i321−i3000000000
χ10522-2-2222-2-222-2-22-1-1-1-1-1-122-2-2111111-1-1-1000000000−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32000000000−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32000000000
χ10622-2-2-12-111-12-2-222-1-12-1-1-1-111-211-2112-1-1000000000−1−i3−1−i31+i31+i31+i32−1−i31+i32−1−i32−1−i321+i32−1−i31+i31+i3−1−i3−1−i31+i321+i32−1−i31+i321+i321+i321+i32−1−i32−1−i321+i3−1−i32−1−i321+i3−1−i32−1−i32−1−i31+i321+i32000000000−1+i3−1+i31−i31−i31−i32−1+i31−i32−1+i32−1+i321−i32−1+i31−i31−i3−1+i3−1+i31−i321−i32−1+i31−i321−i321−i321−i32−1+i32−1+i321−i3−1+i32−1+i321−i3−1+i32−1+i32−1+i31−i321−i32000000000
χ10722-2-2-12-111-12-2-22-12-1-12-1-1-1111-211-21-12-1000000000−1−i3−1−i31+i31+i31+i32−1−i31+i32−1−i32−1−i321+i32−1−i31+i31+i3−1−i31+i32−1−i31+i321+i32−1−i31+i321+i321+i32−1−i32−1−i32−1−i321+i3−1−i32−1−i321+i3−1−i321+i32−1−i31+i32000000000−1+i3−1+i31−i31−i31−i32−1+i31−i32−1+i32−1+i321−i32−1+i31−i31−i3−1+i31−i32−1+i31−i321−i32−1+i31−i321−i321−i32−1+i32−1+i32−1+i321−i3−1+i32−1+i321−i3−1+i321−i32−1+i31−i32000000000
χ10822-2-2-12-111-12-2-22-1-12-1-12-1-11111-211-2-1-12000000000−1−i3−1−i31+i31+i31+i32−1−i31+i32−1−i32−1−i321+i32−1−i31+i31+i3−1−i31+i321+i32−1−i31+i321+i32−1−i31+i321+i32−1−i32−1−i32−1−i32−1−i321+i3−1−i32−1−i321+i31+i321+i32−1−i3000000000−1+i3−1+i31−i31−i31−i32−1+i31−i32−1+i32−1+i321−i32−1+i31−i31−i3−1+i31−i321−i32−1+i31−i321−i32−1+i31−i321−i32−1+i32−1+i32−1+i32−1+i321−i3−1+i32−1+i321−i31−i321−i32−1+i3000000000
χ1093333333333-1-1-1-1000000-1-1-1-100000000011-1-1-1-1111−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i320000001+i321+i321+i321+i32000000000−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i320000001−i321−i321−i321−i32000000000−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32
χ1103333333333-1-1-1-1000000-1-1-1-1000000000-1-11111-1-1-1−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i320000001+i321+i321+i321+i320000000001+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i320000001−i321−i321−i321−i320000000001−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32
χ111333-33-333-3-31-11-10000001-1-11000000000111-1-111-1-1−3−3i32−3−3i32−3−3i323+3i32−3−3i323+3i32−3−3i32−3−3i323+3i323+3i32−1−i321+i32−1−i321+i32000000−1−i321+i321+i32−1−i32000000000−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−3+3i32−3+3i32−3+3i323−3i32−3+3i323−3i32−3+3i32−3+3i323−3i323−3i32−1+i321−i32−1+i321−i32000000−1+i321−i321−i32−1+i32000000000−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32
χ112333-33-333-3-31-11-10000001-1-11000000000-1-1-111-1-111−3−3i32−3−3i32−3−3i323+3i32−3−3i323+3i32−3−3i32−3−3i323+3i323+3i32−1−i321+i32−1−i321+i32000000−1−i321+i321+i32−1−i320000000001+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−3+3i32−3+3i32−3+3i323−3i32−3+3i323−3i32−3+3i32−3+3i323−3i323−3i32−1+i321−i32−1+i321−i32000000−1+i321−i321−i32−1+i320000000001−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32
χ11333-333-33-33-311-1-10000001-11-1000000000111-11-1-11-1−3−3i32−3−3i323+3i32−3−3i32−3−3i323+3i32−3−3i323+3i32−3−3i323+3i32−1−i32−1−i321+i321+i32000000−1−i321+i32−1−i321+i32000000000−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−3+3i32−3+3i323−3i32−3+3i32−3+3i323−3i32−3+3i323−3i32−3+3i323−3i32−1+i32−1+i321−i321−i32000000−1+i321−i32−1+i321−i32000000000−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i32
χ11433-333-33-33-311-1-10000001-11-1000000000-1-1-11-111-11−3−3i32−3−3i323+3i32−3−3i32−3−3i323+3i32−3−3i323+3i32−3−3i323+3i32−1−i32−1−i321+i321+i32000000−1−i321+i32−1−i321+i320000000001+i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i32−3+3i32−3+3i323−3i32−3+3i32−3+3i323−3i32−3+3i323−3i32−3+3i323−3i32−1+i32−1+i321−i321−i32000000−1+i321−i32−1+i321−i320000000001−i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i32
χ11533-3-3333-3-33-111-1000000-1-11100000000011-1-111-1-11−3−3i32−3−3i323+3i323+3i32−3−3i32−3−3i32−3−3i323+3i323+3i32−3−3i321+i32−1−i32−1−i321+i320000001+i321+i32−1−i32−1−i32000000000−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−3+3i32−3+3i323−3i323−3i32−3+3i32−3+3i32−3+3i323−3i323−3i32−3+3i321−i32−1+i32−1+i321−i320000001−i321−i32−1+i32−1+i32000000000−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32
χ11633-3-3333-3-33-111-1000000-1-111000000000-1-111-1-111-1−3−3i32−3−3i323+3i323+3i32−3−3i32−3−3i32−3−3i323+3i323+3i32−3−3i321+i32−1−i32−1−i321+i320000001+i321+i32−1−i32−1−i320000000001+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−3+3i32−3+3i323−3i323−3i32−3+3i32−3+3i32−3+3i323−3i323−3i32−3+3i321−i32−1+i32−1+i321−i320000001−i321−i32−1+i32−1+i320000000001−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32
χ1174-40040-40000000-2-2-2222000000000000022−220000000−2−2i32+2i300−2−2i302+2i300000001+i31+i31+i3−1−i3−1−i3−1−i30000000000000−2ζ7+2ζ132ζ7−2ζ130000000−2+2i32−2i300−2+2i302−2i300000001−i31−i31−i3−1+i3−1+i3−1+i300000000000002ζ5−2ζ23−2ζ5+2ζ230000000
χ1184-40040-40000000-2-2-22220000000000000−22220000000−2−2i32+2i300−2−2i302+2i300000001+i31+i31+i3−1−i3−1−i3−1−i300000000000002ζ7−2ζ13−2ζ7+2ζ130000000−2+2i32−2i300−2+2i302−2i300000001−i31−i31−i3−1+i3−1+i3−1+i30000000000000−2ζ5+2ζ232ζ5−2ζ230000000
χ1196666-36-3-3-3-3-2-2-2-20000001111000000000000000000−3−3i3−3−3i3−3−3i3−3−3i33+3i32−3−3i33+3i323+3i323+3i323+3i321+i31+i31+i31+i3000000−1−i32−1−i32−1−i32−1−i32000000000000000000−3+3i3−3+3i3−3+3i3−3+3i33−3i32−3+3i33−3i323−3i323−3i323−3i321−i31−i31−i31−i3000000−1+i32−1+i32−1+i32−1+i32000000000000000000
χ120666-6-3-6-3-3332-22-2000000-111-1000000000000000000−3−3i3−3−3i3−3−3i33+3i33+3i323+3i33+3i323+3i32−3−3i32−3−3i32−1−i31+i3−1−i31+i30000001+i32−1−i32−1−i321+i32000000000000000000−3+3i3−3+3i3−3+3i33−3i33−3i323−3i33−3i323−3i32−3+3i32−3+3i32−1+i31−i3−1+i31−i30000001−i32−1+i32−1+i321−i32000000000000000000
χ12166-66-3-6-33-3322-2-2000000-11-11000000000000000000−3−3i3−3−3i33+3i3−3−3i33+3i323+3i33+3i32−3−3i323+3i32−3−3i32−1−i3−1−i31+i31+i30000001+i32−1−i321+i32−1−i32000000000000000000−3+3i3−3+3i33−3i3−3+3i33−3i323−3i33−3i32−3+3i323−3i32−3+3i32−1+i3−1+i31−i31−i30000001−i32−1+i321−i32−1+i32000000000000000000
χ12266-6-6-36-333-3-222-200000011-1-1000000000000000000−3−3i3−3−3i33+3i33+3i33+3i32−3−3i33+3i32−3−3i32−3−3i323+3i321+i3−1−i3−1−i31+i3000000−1−i32−1−i321+i321+i32000000000000000000−3+3i3−3+3i33−3i33−3i33−3i32−3+3i33−3i32−3+3i32−3+3i323−3i321−i3−1+i3−1+i31−i3000000−1+i32−1+i321−i321−i32000000000000000000
χ1238-80080-80000000222-2-2-20000000000000000000000−4−4i34+4i300−4−4i304+4i30000000−1−i3−1−i3−1−i31+i31+i31+i30000000000000000000000−4+4i34−4i300−4+4i304−4i30000000−1+i3−1+i3−1+i31−i31−i31−i30000000000000000000000
χ1248-800-404000000022-4-2-240000000000000000000000−4−4i34+4i3002+2i30−2−2i30000000−1−i3−1−i32+2i31+i31+i3−2−2i30000000000000000000000−4+4i34−4i3002−2i30−2+2i30000000−1+i3−1+i32−2i31−i31−i3−2+2i30000000000000000000000
χ1258-800-40400000002-42-24-20000000000000000000000−4−4i34+4i3002+2i30−2−2i30000000−1−i32+2i3−1−i31+i3−2−2i31+i30000000000000000000000−4+4i34−4i3002−2i30−2+2i30000000−1+i32−2i3−1+i31−i3−2+2i31−i30000000000000000000000
χ1268-800-4040000000-4224-2-20000000000000000000000−4−4i34+4i3002+2i30−2−2i300000002+2i3−1−i3−1−i3−2−2i31+i31+i30000000000000000000000−4+4i34−4i3002−2i30−2+2i300000002−2i3−1+i3−1+i3−2+2i31−i31−i30000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.